Interactive
CK-12 Foundation

Sum and Difference of Cubes: Stacking Blocks

For Students 9th - 11th Standards
Investigate polynomial factoring patterns by finding a connection to volume. As learners build a three-dimensional solid from smaller solids, they convert the visual model to a mathematical expression. Their models represent the sum of...
Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 1

For Students 8th - 10th Standards
Eliminate a color by dragging shapes. The interactive provides a graphical color display that allows for pupils to solve a linear system by elimination. Learners combine figures following set rules for positive and negative shapes. The...
Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 2

For Students 8th - 10th Standards
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
Interactive
CK-12 Foundation

Distance Between Two Polar Coordinates: Exploring Changes in Angle and Radius

For Students 10th - 12th Standards
Get straight answers on a curved grid. An interactive has learners apply the Law of Cosines to find the distance between two points on the polar coordinate plane. The pupils use the radii lengths and the angle between the two radii...
Interactive
CK-12 Foundation

Binomial Distributions and Probability: Roll One!

For Students 9th - 12th
It takes exactly one to win. Pupils calculate the probability of rolling five dice and having only a single die come up with a one. Learners calculate the number of expected wins out of a series of games. The interactive provides...
Interactive
CK-12 Foundation

Midpoint and Segment Bisectors: The Midpoint Formula

For Students 9th - 12th Standards
Let's meet in the middle. Given two points on the coordinate plane, pupils use the interactive to find the midpoint. The interactive provides a graphical display of the midpoint and the midpoint formula with the coordinates of the...
Interactive
CK-12 Foundation

Converse, Inverse, and Contrapositive

For Students 7th - 10th
Logically speaking, here is a great resource. Young mathematicians apply an interactive to consider the converse, inverse and contrapositive statements. Eight challenge questions assess understanding of the material.
Interactive
CK-12 Foundation

Checking Solutions to Inequalities: Apples and Bananas Shopping Excursion

For Students 7th - 9th Standards
Go bananas over a fun interactive! Learners drag a point on a virtual graph of an inequality to see if it is a solution. This helps determine the possible numbers of apples and bananas a shopper can buy with a given amount of money.
Interactive
CK-12 Foundation

Existence: One-to-One Functions and Inverses

For Students 11th - Higher Ed Standards
One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions....
Activity
Serendip

Vitamins and Health – Why Experts Disagree

For Teachers 9th - Higher Ed Standards
Should people take vitamins or get the needed minerals through diet? Experts disagree based on many different factors. Scholars compare study findings and discuss the differences. They learn the importance of comparing results across...
Interactive
CK-12 Foundation

Estimation of Whole Number Multiplication and Division: Lettuce Garden

For Students 3rd - 8th Standards
Estimating whole number multiplication and division is the focus of an interactive that uses a garden plot with moveable points to answer six questions.
Interactive
CK-12 Foundation

Proportions and Scale: Problem Solving Plan, Proportions

For Students 6th - 8th Standards
Slide into a lesson on proportions. A slider interactive lets users adjust three of the four values in a proportion and automatically updates the fourth value. Scholars use the interactive to help answer a set of challenge questions on...
Interactive
CK-12 Foundation

Quadratic Functions and Equations

For Students 9th - 12th Standards
The form of a quadratic function paints a picture of its graph. Young mathematicians explore this connection by locating key features on a graph and then writing the corresponding equations. The interactive tutorial highlights key...
Interactive
CK-12 Foundation

Quadratic Functions and Their Graphs: Soccer Ball Trajectory

For Students 9th - 12th Standards
Determine critical points in the flight of a soccer ball. Pupils use an interactive resource to find the vertex and x-intercepts of the graph of the trajectory of a soccer ball after being kicked. Scholars investigate the trajectory...
Interactive
CK-12 Foundation

Least Common Multiple: Hot Dogs and Buns

For Students 6th Standards
Find the least common multiple of hotdog packages and bun packages in an interactive that allows pupils to drag and drop a set of four hot dogs into a pack of six buns to find the least common multiple of the sets.
Interactive
CK-12 Foundation

Oblique Asymptotes: Rational Functions and Asymptotes

For Students 9th - 12th Standards
Examine the connection between rational functions and their graphs. Individuals use an online manipulative to sort equations with horizontal and oblique asymptotes. They focus on the degree of the numerator and denominator.
Interactive
CK-12 Foundation

Six Trigonometric Functions and Radians: Degrees to Radians and Back Again!

For Students 10th - 12th Standards
How do degrees relate to radians? The interactive allows pupils to manipulate the size of an angle in a unit circle to help see that relationship. Users determine the radian measure for given degree measures of angles, realizing the...
Interactive
CK-12 Foundation

Conversion between Degrees and Radians: Arc and Radians Relationship

For Students 10th - 12th Standards
How are arc lengths and radians related? An interactive resource demonstrates the relationship as pupils create arc lengths in a unit circle and compare them to the angle measurements. Questions ask individuals to build upon this...
Interactive
CK-12 Foundation

Changes in Period and Amplitude of the Sine Function

For Students 10th - 12th Standards
How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...
Interactive
CK-12 Foundation

Scientific Models: Mathematical, Physical and Conceptual

For Students 6th - 12th
This is one super model interactive! Middle and high school science scholars examine scientific models through a simple resource. Guided, hands-on practice allows them to classify conceptual, mathematical, and physical models. Other...
Interactive
CK-12 Foundation

Rocks and Processes of the Rock Cycle: One Rocks Turns to Another...

For Students 6th - 9th
Geology scholars test their rock identification skills in an interactive that examines the rock cycle from the three main nodes of rocks. Other topics include visual clues to rock identity and the conditions needed to make rocks change...
Interactive
CK-12 Foundation

Midpoint and Segment Bisectors: Finding Treasure with Geometry

For Students 7th - 9th Standards
Send your class on the hunt for a buried treasure and apply geometry skills along the way. An engaging lesson uses direction and midpoint locations to find the location of a treasure. Videos provide background information to complete the...
Interactive
CK-12 Foundation

Domain and Range of a Function: Making Money Math

For Students 8th Standards
Graphs are useful for many things, including seeing how much money you can make. Individuals create a graph of earnings from a job based on the number of hours. They determine the domain and range of the graph and answer challenge...
Interactive
CK-12 Foundation

Modeling: Mathematical, Physical and Conceptual

For Students 6th - 12th Standards
Scientific models help explain ideas and concepts to non-experts. The online activity covers conceptual, mathematical, and physical models. Through four multiple-choice questions and three discussion questions, scholars gain a deeper...

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